Astronaut Acceleration Question

[shell4987]

Homework Statement

Three astronauts, propelled by jet backpacks, push and guide a 160 kg asteroid toward a processing dock, exerting the forces shown in Fig. 5-31, with F1 = 30 N, F2 = 36 N, F3 = 58 N, 1 = 27°, and 3 = 55°. What is the asteroid's acceleration (a) in unit-vector notation and as (b) a magnitude and (c) a direction relative to the positive direction of the x axis?? (give the magnitude of the angle)

Homework Equations

F=ma

The Attempt at a Solution

I don't really know where to start on this problem, do I just use the F=ma formula for each force and solve for a? How can I put it in unit vector notation?

 

[mgb_phys]

Apply F = ma in each coordinate separately
Simply use pythagorus to get the overall magnitude ( no diagram I assume the directions are in x,y,z?)
To get the overal direction just draw a force diagram and do the trig.